First slide

Applications of trigonometry

Question

$Two vertical poles of heights 20 m and 80 m stand apart on a horizontal plane. The$ $height (in meter) of the point of intersection of the lines joining the tops of each pole$ $to the foot of the other, from this horizontal plane is$

Moderate

Solution

$\begin{array}{l} \frac{80}{h} = \frac{x + y}{x} \\ and \frac{20}{h} = \frac{x + y}{y} \\ solving h = 16 \end{array}$

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